All of those are significantly overkill for deer. You can use less expensive ammo and get the job done. They're all somewhat overkill for moose as well. A regular JHP will take down any deer or moose I've seen or heard of within 100yds. If you want to use premium ammo, that's your choice, I'm just saying you generally don't need to spend the extra money for deer or moose.
Personally, Hornady 45-70 ammo always seems the most accurate in both my guide gun and H&R buffalo classic.
There was a lot of scuttlebut online a year or so ago when Federal discontinued the TBBC as a component bullet for reloading. Many people said it was replaced in the loaded ammo as well with a cheaper bullet but they kept the name for the factory loadings because it had such a good reputation. They kept the name, the box stayed the same, and even the visible portion of the bullet in the case looked right but some guys said they pulled and sectioned the bullets and it wasn't a real TBBC. I never confirmed this myself but it may be worth looking into.
Barnes bullets have somewhat of a reputation for not expanding except at close range/high velocities. It seems to be pretty random and will expand properly most of the time but on occasion it acts like a FMJ.